unknown. Her first child was a son called Polyarchus and her youngest child was her only daughter called Eryxo. Plutarch states that Critola by her husband had other sons, however the historian does not mention their names. Eryxo would become a future Cyrenaean Queen and would be the mother of future Cyrenaean King Battus III.

Her husband around 550 BC was murdered by Learchus, a rival to her nephew Arcesilaus II. Critola's husband had died a short time